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Power Formula:
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The power formula from torque calculates mechanical power using torque and angular velocity. This fundamental relationship is essential in mechanical engineering, automotive design, and rotational systems analysis.
The calculator uses the power formula:
Where:
Explanation: This formula expresses the relationship between rotational mechanical power, torque, and angular velocity. It shows that power increases linearly with both torque and rotational speed.
Details: Accurate power calculation is crucial for designing mechanical systems, selecting appropriate motors and engines, determining energy requirements, and optimizing system performance in various applications from automotive to industrial machinery.
Tips: Enter torque in newton-meters (Nm) and angular velocity in radians per second (rad/s). Both values must be positive numbers. The calculator will compute the mechanical power in watts.
Q1: What is the difference between torque and power?
A: Torque is a rotational force, while power is the rate at which work is done. Power combines both torque and rotational speed to measure energy transfer rate.
Q2: How do I convert RPM to rad/s?
A: Multiply RPM by \( \frac{2\pi}{60} \) to get rad/s. For example, 1000 RPM = 1000 × (2π/60) ≈ 104.72 rad/s.
Q3: Can this formula be used for electric motors?
A: Yes, this formula applies to all rotational mechanical systems including electric motors, internal combustion engines, and turbines.
Q4: What are typical torque values for common applications?
A: Car engines: 100-500 Nm, Electric motors: 1-50 Nm, Industrial machinery: varies widely depending on application.
Q5: Why is power measured in watts?
A: Watts are the SI unit of power, where 1 watt = 1 joule per second, providing a standardized measurement for energy transfer rate.